A-Level Maths

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• If f(x) = x²eˣ, what is f′(1)?
• What is the value of ∫₀^(π/2) sin x cos x dx?
• Solve ln(x − 1) = 2, where x > 1.
• A binomial random variable has n = 5 and p = 0.4. What is the probability of exactly two successes?
• Match each function with its derivative.
• Match each probability distribution with its defining feature.
• Match each vector operation with its principal use.
• Match each trigonometric equation with its solution in the interval 0 ≤ x < 2π.